541541520 has 240 divisors, whose sum is σ = 2001871872. Its totient is φ = 130360320.

The previous prime is 541541479. The next prime is 541541531. The reversal of 541541520 is 25145145.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439305 + ... + 440535.

Almost surely, 2^541541520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541541520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000935936).

541541520 is an abundant number, since it is smaller than the sum of its proper divisors (1460330352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

541541520 is a wasteful number, since it uses less digits than its factorization.

541541520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 541541520 is about 23271.0446692881. The cubic root of 541541520 is about 815.0994245572.

Adding to 541541520 its reverse (25145145), we get a palindrome (566686665).

The spelling of 541541520 in words is "five hundred forty-one million, five hundred forty-one thousand, five hundred twenty".